Odpowiedź:
a ) x² + (3 √5)² = 9²
x² = 81 - 9*5 = 81 - 45 = 36
x = [tex]\sqrt{36} = 6[/tex]
więc
Pole rombu
e = 2*3√5 = 6√5
f = 2*6 = 12
P = 0,5 e*f = 0,5*6√5*12 = 36√5 [ j² ]
=================================
Obwód
L = 4*9 = 36
===============
z.3
h² + 6² = 10²
h² = 100 - 36 = 64
h = [tex]\sqrt{64} = 8[/tex]
b = 15
a = 6 + 15 + 6 = 27
Pole trapezu
P = 0,5*( a + b )*h = 0,5*( 27 + 15)*8 = 21*8 = 168 [ j² ]
=============================================
L = 2*10 + 2*6 + 2*15 = 20 + 12 + 30 = 62
========================================
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Odpowiedź:
a ) x² + (3 √5)² = 9²
x² = 81 - 9*5 = 81 - 45 = 36
x = [tex]\sqrt{36} = 6[/tex]
więc
Pole rombu
e = 2*3√5 = 6√5
f = 2*6 = 12
P = 0,5 e*f = 0,5*6√5*12 = 36√5 [ j² ]
=================================
Obwód
L = 4*9 = 36
===============
z.3
h² + 6² = 10²
h² = 100 - 36 = 64
h = [tex]\sqrt{64} = 8[/tex]
b = 15
a = 6 + 15 + 6 = 27
Pole trapezu
P = 0,5*( a + b )*h = 0,5*( 27 + 15)*8 = 21*8 = 168 [ j² ]
=============================================
Obwód
L = 2*10 + 2*6 + 2*15 = 20 + 12 + 30 = 62
========================================
Szczegółowe wyjaśnienie: